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P-averages of diffusion tensors
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
Linköping University, Center for Medical Image Science and Visualization (CMIV). Linköping University, Department of Biomedical Engineering, Medical Informatics. Linköping University, The Institute of Technology.
Linköping University, Center for Medical Image Science and Visualization (CMIV). Linköping University, Department of Biomedical Engineering, Medical Informatics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9091-4724
2007 (English)In: SSBA 2007, Symposium on image analysis,2007, Linköping, 2007Conference paper, Published paper (Other academic)
Abstract [en]

For positive semi-definite tensors like diffusion tensors in the plane it is possible to calculate several different means or p-averages. These are related to p-norms for functions, but produce mappings rather than numbers as means. We compare these means for various values of the real parameter p. One important future application is the filtering and interpolation of tensor fields in Diffusion Tensor Magnetic Resonance

Place, publisher, year, edition, pages
Linköping, 2007.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-40303Local ID: 52893OAI: oai:DiVA.org:liu-40303DiVA: diva2:261152
Conference
Swedish Symposium in Image Analysis 2007 (SSBA), Linköping, Sweden,14-15 March 2007
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2013-08-28

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Herberthson, MagnusBrun, AndersKnutsson, Hans

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